Question

Ezra is training for a track race. he starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation

Answer 1

Hello!

I believe a formula, where distance is y, we could put it in slope intercept form.

y=5(21)+100

This is the formula and by the end Ezra will be sprinting 205 meters.

Hope this helps!

Answer 2

From formula
`x_(n)=5* (n-1)+100` It is found that on
`21^(st)` day Ezra will be sprinting 200 yards

Explanation:

Let us consider
`x_(n)` be the sprinting distance for each day where n=1,2,....21

We have given on first day Ezra starts by sprinting 100 yards

Therefore on next day Ezra will be sprinting

`x_(2)=5* 1+100`

`x_(2)`=105 yards

on third day

`x_(3)=5* 2+100`

`x_(3)`=110 yards

similarly, on
`n^(th)` day sprinting distance is given as

`x_(n)=5* (n-1)+100`

therefore on
`21^(st)` day sprinting distance will be

`x_(21)=5* 20+100`

`x_(21)`=200 yards

Therefore from this formula
`x_(n)=5* (n-1)+100` It is found that

on
`21^(st)` day Ezra will be sprinting 200 yards.